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Finding the Fourth Proportional to 36,782.34, 55,130.10 and 15,716.22

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Solution

The fourth proportional to 36,782.34, 55,130.10 and 15,716.22 is: 23,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.34 : 55,130.10 = 15,716.22 : x
  2. Step 2: Convert to fraction form
    36,782.34/55,130.10 = 15,716.22/x
  3. Step 3: Cross multiply
    36,782.34x = 55,130.10 × 15,716.22
  4. Step 4: Simplify right side
    36,782.34x = 866,436,780.22
  5. Step 5: Solve for x
    x = 866,436,780.22/36,782.34
  6. Step 6: Final answer
    x = 23,555.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.